Q: What are the prime factors of the number 403,222,616?

 A: 2, 67, 752281

Why are those the prime factors of the number 403,222,616?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 403,222,616

403,222,616
Factor Arrows
2201,611,308
Factor Arrows
2100,805,654
Factor Arrows
250,402,827
Factor Arrows
67752,281

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 67, 752281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 67 x 752,281 = 403,222,616

This can also be written as 23 x 671 x 752,2811 = 403,222,616

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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